David J. Sivakoff, Visiting Assistant Professor

Contact Info:

Office Location:	106 Physics
Email Address:
Web Page:	http://math.duke.edu/~djsivy/

Teaching (Fall 2012):

• MATH 541.01, APPLIED STOCHASTIC PROC Synopsis

  Physics 259, TuTh 01:25 PM-02:40 PM

  (also cross-listed as STA 621.01)

• MATH 690-40.01, TOPICS IN PROBABILITY Synopsis

  Physics 259, TuTh 10:05 AM-11:20 AM

Education:

Applied Math, PhD

University of California, Davis

2010

Specialties:

Probability

Research Interests: Probability, Stochastic Processes

Current projects: Contact process on modular networks, Coevolving voter model, Bootstrap percolation on the Hamming torus

I study stochastic processes with a spatial component, such as percolation models and Markov chains on trees, lattices and graphs. I am interested in how the underlying graph structure affects the behavior of certain stochastic processes on the graph. Such problems have applications to epidemiology, social science, and computer science.

Areas of Interest:

Stochastic processes on networks
Random graphs
Percolation

Keywords:

Probability • Random graphs • Contact process • Voter model • Percolation

Recent Publications

1. R. Durrett, J.P. Gleeson, A. Lloyd, P.J. Mucha, F. Shi, D. Sivakoff, J. Socolar, C. Varghese, Graph fission in an evolving voter model, PNAS (Submitted, December, 2011)
2. D. Sivakoff, Emergence of a Giant Component in Random Site Subgraphs of a d-Dimensional Hamming Torus (Submitted, 2010) [arXiv:1001.1007v2]